Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Elementary Differential Geometry, Revised 2nd Edition by Barrett O'Neill (2006, Hardcover)
Awesomebooksusa (439211)
98% positive feedback
Price:
US $120.84
ApproximatelyAU $186.65
+ $9.89 postage
Returns:
30-day returns. Buyer pays for return postage. If you use an eBay postage label, it will be deducted from your refund amount.
Condition:
Publisher: Academic Press ISBN 13: 9780120887354. Edition: 2 List Price: -.
- Buy It NowElementary Differential Geometry, Revised 2nd Edition, O'Neill 9780120887354.=
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherElsevier Science & Technology
ISBN-100120887355
ISBN-139780120887354
eBay Product ID (ePID)50347428
Product Key Features
Number of Pages520 Pages
LanguageEnglish
Publication NameElementary Differential Geometry, Revised 2nd Edition
SubjectGeometry / Differential
Publication Year2006
FeaturesRevised
TypeTextbook
AuthorBarrett O'neill
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height0.5 in
Item Weight33.7 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN2005-057176
IllustratedYes
Table Of ContentChapter 1: Calculus on Euclidean Space: Euclidean Space. Tangent Vectors. Directional Derivatives. Curves in R3. 1-forms. Differential Forms. Mappings. Chapter 2: Frame Fields: Dot Product. Curves. The Frenet Formulas. ArbitrarySpeed Curves. Covariant Derivatives. Frame Fields. Connection Forms. The Structural Equations. Chapter 3: Euclidean Geometry: Isometries of R3. The Tangent Map of an Isometry. Orientation. Euclidean Geometry. Congruence of Curves. Chapter 4: Calculus on a Surface: Surfaces in R3. Patch Computations. Differentiable Functions and Tangent Vectors. Differential Forms on a Surface. Mappings of Surfaces. Integration of Forms. Topological Properties. Manifolds. Chapter 5: Shape Operators: The Shape Operator of M R3. Normal Curvature. Gaussian Curvature. Computational Techniques. The Implicit Case. Special Curves in a Surface. Surfaces of Revolution. Chapter 6: Geometry of Surfaces in R3: The Fundamental Equations. Form Computations. Some Global Theorems. Isometries and Local Isometries. Intrinsic Geometry of Surfaces in R3. Orthogonal Coordinates. Integration and Orientation. Total Curvature. Congruence of Surfaces. Chapter 7: Riemannian Geometry: Geometric Surfaces. Gaussian Curvature. Covariant Derivative. Geodesics. Clairaut Parametrizations. The Gauss-Bonnet Theorem. Applications of Gauss-Bonnet. Chapter 8: Global Structures of Surfaces: Length-Minimizing Properties of Geodesics. Complete Surfaces. Curvature and Conjugate Points. Covering Surfaces. Mappings that Preserve Inner Products. Surfaces of Constant Curvature. Theorems of Bonnet and Hadamard.
Edition DescriptionRevised edition
SynopsisWritten primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition , provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text. Over 36,000 copies sold worldwide Accessible, practical yet rigorous approach to a complex topic--also suitable for self-study Extensive update of appendices on Mathematica and Maple software packages Thorough streamlining of second edition's numbering system Fuller information on solutions to odd-numbered problems Additional exercises and hints guide students in using the latest computer modeling tools, Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition , provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text.
LC Classification NumberQA641
